Two-dimensional mathematical modeling of interaction of a shock wave with moving cylinders

Abstract

The problem of interaction of a planar shock wave with cylinders of different masses is considered. The cylinder can move translationally under the action of the pressure force. Mathematical model is based on two-dimensional Euler equations. Numerical algorithm is based on the Cartesian grid method for the calculations of flows in the areas with varying geometry. The algorithm and its program realization are tested on the problem about the lifting of the cylinder behind the transmitted shock wave. The curves of the cylinder speed variation in time are plotted. The explanations about the qualitative view of the curves for the different cylinders masses are given. For one mass the analysis of the dynamics of the cylinder motion is carried out from the point of view of the non-stationary shock waves patterns that are realized as a result of interaction of the shock wave with the cylinder.